the calculated displacement is 1000 m.
The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared (m/s2). Since acceleration is a vector quantity, both its magnitude and its direction are included. The following equation can be used to determine distance from acceleration: D = v*t + 1/2*a*t2. where and is the acceleration, t is the passage of time, and v is the velocity.
Velocity= 25 m/s
time= 40 seconds
displacement= velocity x time
=25 x 40
=1000 m
the calculated displacement is 1000 m.
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For each scenario below, identify the opposite reaction force. 1) A baseball bat hits a ball. 2) A bowling ball pushes up against the pins. 3) Air particles push outward against a balloon. 4) During an earthquake, tectonic plates move
The reaction forces are as follows:
the ball hitting the batthe pins pushing against the bowling ball the walls of the balloon pushing against the air particlesthe weight of the tectonic plates.What are reaction forces?Reaction forces are the force which act in an opposite direction to an applied force.
According to Newton's third law of motion, action and reaction are equal but oppositely-directed.
Considering the given forces, the reaction forces are as follows:
A baseball bat hits a ball = the reaction force is that of the ball hitting the bat
A bowling ball pushes up against the pins = the pins pushing against the bowling ball
Air particles push outward against a balloon = the walls of the balloon pushing against the air particles
During an earthquake, tectonic plates move = the weight of the tectonic plates.
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Calculate the current produced if a 12-volt battery supplies 6 watts of power
The current produced by a 12-volt battery supplying 6 watts of power is 0.5 amperes.
To calculate the current produced by a 12-volt battery supplying 6 watts of power, we can use the formula:
current = power / voltage
Substituting the given values:
current = 6 watts / 12 volts
Simplifying the expression:
current = 0.5 amperes
Therefore, the current produced by the battery is 0.5 amperes.
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The current produced by a 12-volt battery supplying 6 watts of power is 0.5 amperes.
To calculate the current produced by a 12-volt battery supplying 6 watts of power, you can use Ohm's Law, which states that the current (I) is equal to the power (P) divided by the voltage (V):
I = P / V
Substituting the given values:
P = 6 watts
V = 12 volts
I = 6 watts / 12 volts
I = 0.5 amperes (A)
Therefore, the current produced by the 12-volt battery supplying 6 watts of power is 0.5 amperes.
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When energy in a system is transformed, what happens to the total amount of energy in the system?
When the energy in a system is transformed, the total amount of energy in the system is always conserved.
What does it mean when energy is transformed?The changing of one form of energy into another, or the movement of energy from one place to another. An energy transformation is a change of power from one form to another. Fire (Chemical energy Heat and Light) Electric lamp (Electrical energy Heat and Light), Microphone (Sound Electrical energy), Wave power (Mechanical energy Electrical energy). Energy transformation is also known as energy regeneration which is a process of changing energy from one form to another. Energy transformations are procedures that convert energy from one type, for example, kinetic, gravitational potential, and chemical energy.
So we can conclude that an energy transformation is the change of energy from one form to another.
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a car travels up a hill at a constant speed of 42 km/h and returns down the hill at a constant speed of 73 km/h. calculate the average speed for the round trip.
The average speed for the round trip would be approximately 54.5 km/h.
To calculate the average speed for the round trip, we use the concept of the harmonic mean. The harmonic mean is defined as the reciprocal of the arithmetic mean of the reciprocals of the speeds. In this case, we have two speeds: 42 km/h and 73 km/h.
To find the harmonic mean, we take the reciprocals of the speeds: 1/42 km/h and 1/73 km/h. Then we calculate the arithmetic mean of these reciprocals: (1/42 + 1/73) / 2.
Now, to find the average speed, we take the reciprocal of the result obtained from the arithmetic mean of the reciprocals. Thus, the average speed for the round trip would be approximately 1 / ((1/42 + 1/73) / 2), which simplifies to approximately 54.5 km/h.
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a 51.5-g super ball traveling at 27.0 m/s bounces off a brick wall and rebounds at 19.0 m/s. a high-speed camera records this event. if the ball is in contact with the wall for 3.95 ms, what is the magnitude of the average acceleration of the ball during this time interval?
The magnitude of the average acceleration of the ball during its contact with the wall is 68000 m/s².
When the ball collides with the wall, it experiences a change in momentum. The time interval during which the ball is in contact with the wall is 3.95 ms, or 0.00395 s. Using the principle of conservation of momentum,
We use the average acceleration formula to find the acceleration of the ball during the collision.Initial momentum of the ball before collision = m₁v₁ = (0.0515 kg)(27.0 m/s) = 1.3905 kg⋅m/s. Final momentum of the ball after collision = m₂v₂ = (0.0515 kg)(-19.0 m/s) = -0.9785 kg⋅m/s
According to the conservation of momentum, the initial momentum is equal to the final momentum, so:m₁v₁ = m₂v₂
1.3905 kg⋅m/s = -0.9785 kg⋅m/s Solving for the mass, we get: = 0.0515 kg
Using the average acceleration formula: a = Δv/Δt = (v₂ - v₁)/Δt = (-19.0 m/s - 27.0 m/s)/0.00395 s = -16455.7 m/s² Since the acceleration is in the opposite direction to the initial velocity, we take the magnitude to be: |a| = 16455.7 m/s² ≈ 68000 m/s².
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A ball of mass m is attached to a string of length L. It is being swung in a vertical circle with enough speed so that the string remains taut throughout the ball's motion. (Figure 1)Assume that the ball travels freely in this vertical circle with negligible loss of total mechanical energy. At the top and bottom of the vertical circle, the ball's speeds are vt and vb, and the corresponding tensions in the string are T t and T b. Tt and Tb have magnitudes Tt and Tb.
Part A: Find Tb−Tt, the difference between the magnitude of the tension in the string at the bottom relative to that at the top of the circle.
This is the expression for the difference between the magnitude of tension in the string at the bottom relative to that at the top of the circle.
\(Tb - Tt = m * (vb^2 - vt^2) / L + 2mg\)
The difference between the magnitude of tension in the string at the bottom relative to that at the top of the circle, we can follow these steps:
Step 1: Analyze the forces at the top and bottom of the circle
At the top of the circle, two forces are acting on the ball: gravitational force (mg) and tension force (Tt) in the string, both directed downward.
At the bottom of the circle, gravitational force (mg) is directed downward, while tension force (Tb) in the string is directed upward.
Step 2: Apply Newton's second law at the top and bottom of the circle
Newton's second law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
We can apply this law to the ball at the top and bottom of the circle.
Top of the circle:
\(Tt + mg = m * (vt^2 / L)\)
Bottom of the circle:
\(Tb - mg = m * (vb^2 / L)\)
Step 3: Solve for Tb and Tt
From the equations in step 2, we can now solve for the tension forces at the top and bottom of the circle:
\(Tt = m * (vt^2 / L) - mg\)
\(Tb = m * (vb^2 / L) + mg\)
Step 4: Find the difference between Tb and Tt
The difference between the magnitudes of tension at the bottom relative to the top of the circle is given by:
\(Tb - Tt = [m * (vb^2 / L) + mg] - [m * (vt^2 / L) - mg]\)
Step 5: Simplify the equation
Combine the terms and simplify the equation to find the difference:
\(Tb - Tt = m * (vb^2 - vt^2) / L + 2mg\)
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a person travelled 350 m east from his home and returns back home an hour has displacement of_?
Answer:
vector of zero magnitude
Explanation:
The displacement is a vector magnitude, therefore, in addition to being a module, it has direction and sense.
In this case it moved 350 m and then returned the same 350 m, so the total displacement is zero.
If we draw the vector, one has a directional direction to the right and the other direction to the left, therefore when adding the two vectors gives a vector of zero magnitude
Describe the force exerted by a magnet
The force that a magnet exerts on certain materials, including other magnets, is called magnetic force.
Where is the magnetic force exerted?A force that is applied to an item by a person or another object is known as an applied force. A desk is being subjected to applied force if someone is moving it across the room. The person's force applied to the desk is known as the applied force.Magnetic force is the force that a magnet applies to specific materials, such as other magnets. The force, which consists of both attractive and repulsive forces, is applied over a distance. Two magnets' north and south poles are attracted to one another whereas two north poles or two south poles are repellent to one another.Learn more about Magnetic force refer to ;
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A series RLC circuit driven by a source with an amplitude of 120.0 V and a frequency of 50.0 Hz has an inductance of 792 mH, a resistance of 278 Ω, and a capacitance of 44.3 µF.
(a) What are the maximum current and the phase angle between the current and the source emf in this circuit?
Imax = A
φ = Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.°
(b) What are the maximum potential difference across the inductor and the phase angle between this potential difference and the current in the circuit?
VL, max
= V
φ = °
(c) What are the maximum potential difference across the resistor and the phase angle between this potential difference and the current in this circuit?
VR, max
= V
φ = °
(d) What are the maximum potential difference across the capacitor and the phase angle between this potential difference and the current in this circuit?
VC, max
= V
φ = °
The maximum current and the phase angle between the current and the source emf in this circuit is 0.339 A.
The maximum potential difference across the inductor and the phase angle between this potential difference and the current in the circuit are 33.8 V and 73.4°.
The maximum potential difference across the capacitor and the phase angle between this potential difference and the current in this circuit are 24.4 V and -106.6°.
How does impedance work?
Impedance is a unit of measurement for the resistance to electrical flow, and it is represented by the letter Z. It is measured in ohms. For DC systems, the quantities resistance and impedance—which are determined by dividing the voltage across an element by the current—are equivalent.
The maximum current and phase angle in this circuit between the current and the source emf are:
Xl = 2πfL = 2π × 50.0 × 0.792 = 99.36 Ω
Xc = 1/(2πfC) = 1/(2π × 50.0 × 44.3 × 10^-6) = 72.06 Ω
Z = √(R² + (Xl - Xc)²) = √(278² + (99.36 - 72.06)²) = 353.3 Ω
φ = arctan((Xl - Xc)/R) = arctan((99.36 - 72.06)/278) = 0.289 rad = 16.6°
Imax = V/Z = 120.0/353.3 = 0.339 A
The maximum potential difference across the inductor and the phase angle between this potential difference and the current in the circuit:
VL, max = Imax Xl = 0.339 × 99.36 = 33.8 V
90° - φ = 73.4°.
The maximum potential difference across the capacitor and the phase angle between this potential difference and the current in this circuit:
VC, max = Imax Xc = 0.339 × 72.06 = 24.4 V
-90° - φ = -106.6°.
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An airplane flies from Houston to New York City, which is a distance of 2280 kilometers. The trip takes 3.5 hours. What was the plane's average speed? Round to the nearest whole number.
a)603 km/hr
b)651 km/hr
c)760 km/hr
d)813 km/hr
Answer:
a)603 km/hr
Explanation:
The first harmonic of a string tied down at both ends has a frequency of 26 Hz. If the length of the string is 0.83 m, what is the speed of waves on the string?
Answer:
the speed of the wave on the string is 43.16 m/s
Explanation:
Given;
first harmonic of the wave formed by the string, f₀ = 26 Hz
length of the string, L = 0.83 m
The wavelength for first harmonic of the wave is calculated as;
L = N ----> N
L = λ₀/2
λ₀ = 2L
The speed of the wave on the string is calculated as follows;
v = f₀λ₀
v = f₀ x 2L
v = 26 x 2 x 0.83
v = 43.16 m/s
Therefore, the speed of the wave on the string is 43.16 m/s
Which statements correctly describe motion and forces that
affect it? Select all statements that apply.
Please help!!
Answer: A E F H
Explanation: Hey I'm Lola I'm happy to help you I'm 16 years old! :D
Answer:it’s actually BCD
Explanation:
you’re welcome
when a vehicle turns, its rear wheels will follow a _________ than its front wheels.
When a vehicle turns, its rear wheels will follow a shorter path than its front wheels.
This is because the rear wheels of a vehicle follow a narrower radius in a turn compared to the front wheels due to the vehicle's turning pivot being closer to the front. This difference in path results in a phenomenon called "oversteer" where the rear of the vehicle swings out wider than the front during a turn. Oversteer can be used to intentionally initiate drifts in high-performance driving or corrected using counter-steering techniques to regain control of the vehicle.
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A yoyo can be approximated as a solid cylinder of mass m, radius R and thickness d. Two identical such yoyos have their strings tied together and are wound so that the two yoyos are touching each other. These stuck together yoyos are ejected into deep space far from any other objects. Shortly after being ejected, the center of mass of the yoyos have an initial velocity ū as indicated in the diagram. At this instant, the stuck together yoyos are rotating about the center of mass counterclockwise with an angular speed Wil. As the yoyos fly through space the strings unwind so that at some later time all of the string has unwound from each yoyo. At this time, the velocity of the center of mass is ū and the distance between the center of the yoyos is d. Determine the unknown angular velocity (magnitude and direction) of the center of mass for the tied together yoyos. You can neglect the mass of the string and you can assume that the yoyos are tied to the string so that the string is not slipping on the axle of the yoyo
Answer:
I don't understand what your asking
Explanation:
I really don't know
a man paddles a canoe in a long, straight section of a river. the canoe moves downstream with constant speed 4 m/s relative to the water. the river has a steady current of 1 m/s relative to the bank. the man's hat falls into the river. eight minutes later, he notices that his hat is missing and immediately turns the canoe around, paddling upriver with the same constant speed of 4 m/s relative to the water. how long does it take the man to row back upriver to reclaim his hat?
it takes the man 160 seconds or 2 minutes and 40 seconds to row back upriver to reclaim his hat.
The speed of the river's current is 1 m/s, and the canoe's speed relative to the water is 4 m/s downstream. Thus, the man paddles a canoe in a long, straight section of the river. The speed of the man relative to the bank is 4 - 1 = 3 m/s upstream.
The distance that the hat floats downstream during the eight-minute interval is equal to the product of the speed and time:
distance = speed x time= 1 m/s x (8 x 60 s) = 480 m.
The man must paddle back upstream to recover the hat. Since the distance to the hat is 480 meters, he will have to paddle 480 meters upstream. Let's use the formula for velocity and distance;
time = distance / velocity
In this instance, since he is paddling upstream, his velocity is the difference between the speed of the canoe relative to the water and the velocity of the river's current. Thus, his velocity is 4 - 1 = 3 m/s.
Using the formula, we obtain:
time = 480 m / 3 m/s
time = 160 s
Therefore, it takes the man 160 seconds or 2 minutes and 40 seconds to row back upriver to reclaim his hat.
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If the distance between slits on a diffraction grating is 0. 50 mm and one of the angles of diffraction is 0. 25°, how large is the path difference? nm How many orders of bright lines does this equal for red light with a wavelength of 650 nm? wavelengths.
The distance the wave traveled between the two-point is the path difference. The path difference will be 2200 nm and 3 orders of bright lines do this equal red light with a wavelength of 650 nm.
What is diffraction grating?A diffraction grating is a type of optical instrument obtained with a continuous pattern. The pattern of the diffracted light by a grating depends on the structure and number of elements present.
The equation of diffraction grating is given as
\(\rm n\lambda=dsin\phi\\\\\rm n\lambda=0.50\times10^{-3}\times sin(0.25) \\\\ n\rm \lambda=2.18\times10^{-6} \;m \\\\\rm n\lambda=2200\;nm\)
Hence the path difference will be 2200 nm.
\(\rm n\lambda=2200\;nm \\\\\rm n\times650=2200 \\\\\rm n=3.38\)
n= 3
Hence 3 orders of bright lines do this equal red light with a wavelength of 650 nm.
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measurement of the speed of sound using the flash and report method
The flash and report method is a simple and common technique used to measure the speed of sound. In this method, an observer measures the time between seeing a flash, such as from a gunshot or a firecracker, and hearing the corresponding sound. The observer is usually at a known distance from the source of the flash and sound.
To perform the experiment, the observer stands at a fixed distance away from the source of the flash and sound. When the flash is seen, they start a stopwatch or use any other timing device. Once they hear the sound, they stop the timer and note the time difference between the flash and the sound. This time difference is the time it takes for the sound to travel from the source to the observer.
The speed of sound can then be calculated using the formula: speed of sound = distance / time taken. The distance between the observer and the source is divided by the time difference recorded to find the speed of sound in the medium (usually air).
It is essential to ensure that the distance between the source and the observer is accurate and that the observer's reaction time is considered when measuring the time difference. External factors such as temperature, humidity, and altitude also affect the speed of sound and should be taken into account.
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The probable question may be:
Discuss the measurement of the speed of sound using the flash and report method?
A small, uncharged metal sphere is placed near a larger, negatively charged sphere. Which diagram best represents the charge distribution on the smaller sphere
Answer:
Answer is option 3 or
Explanation:
Diagram 2 best represents the charge distribution on the smaller sphere. Therefore, the correct option is option 2.
What is charge?Charge is a physical attribute that causes matter in such an electromagnetic field to experience a force. Electric charges can be either positive or negative.
If there is no net electric charge, the substance is termed neutral or uncharged. Like charges repel each other (for example, two positive charges repelling two negative charges). Charges with opposing charges (positively and negatively) attract each other. Diagram 2 best represents the charge distribution on the smaller sphere.
Therefore, the correct option is option 2.
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A toy car with mass of 3.0kg is push along the table .If the net force on the book is 15.0N what is the toy car's accelaration?
Answer:
a = 5
Explanation:
F = M × A
15 = 3 × a
a = 15 / 3
a = 5
This is only if the toy can is pushing the book or smth coz the question looks incomplete...?
Answer:
5 m/s^2
Explanation:
Realize that Newton's Second Law explains that the net force is equal to the mass mulitplied by the acceleration, or in simple terms, F=ma. In the problem, the force is 15 newtons, and the mass is 3 kg. Substiting and dividing, we get 5 m/s^2 (5 meters per second squared).
One type of electromagnetic radiation has a frequency of 107. 1 mhz, another type has a wavelength of 2. 12 ✕ 10−10 m, and another type of electromagnetic radiation has photons with energy equal to 3. 97 ✕ 10−19 j/photon. Identify each type of electromagnetic radiation.
1. 107.1 MHz frequency: wavelength ≈ 2.80 meters.
2. 2.12 × 10^(-10) m wavelength: ultraviolet (UV) range.
3. 3.97 × 10^(-19) J/photon energy: visible light, possibly blue or violet.
To identify each type of electromagnetic radiation, we can use the relationships between frequency, wavelength, and energy of electromagnetic waves.
The equation that relates frequency (f) and wavelength (λ) of electromagnetic waves is:
c = f * λ
where c is the speed of light in a vacuum, approximately 3.00 × 10^8 m/s.
Given the frequency of 107.1 MHz, we can calculate the corresponding wavelength using the above equation:
107.1 MHz = 107.1 × 10^6 Hz
c = f * λ
λ = c / f = (3.00 × 10^8 m/s) / (107.1 × 10^6 Hz) ≈ 2.80 m
Therefore, the electromagnetic radiation with a frequency of 107.1 MHz corresponds to a wavelength of approximately 2.80 meters.
The second type of electromagnetic radiation has a wavelength of 2.12 × 10^(-10) m, which is in the range of the ultraviolet (UV) region of the electromagnetic spectrum.
Lastly, the third type of electromagnetic radiation has photons with an energy of 3.97 × 10^(-19) J/photon. This energy corresponds to photons in the visible light range, specifically within the blue or violet region of the spectrum.
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light in air reflects off the surface of a puddle of water. is the phase of the reflected wave different than the incoming wave?
When light travels through air and reflects off the surface of a puddle of water, the phase of the reflected wave is indeed different than the incoming wave. This is because when light reflects off a surface, it undergoes a phase shift of 180 degrees. This means that the peaks of the reflected wave will correspond to the troughs of the incoming wave, and vice versa.
To understand why this happens, it's helpful to think about how waves work. Waves are characterized by their amplitude (height), wavelength (distance between peaks), and phase (position of the wave relative to a fixed point). When a wave reflects off a surface, it encounters a boundary where the medium changes (in this case, from air to water). This boundary causes the wave to undergo a phase shift of 180 degrees, which changes the position of the peaks and troughs of the wave.
So in summary, when light reflects off the surface of a puddle of water, the phase of the reflected wave is different than the incoming wave because of the phase shift that occurs at the air-water boundary.
Yes, the phase of the reflected light wave is different from the incoming wave. When light reflects off a surface like water, a phase change of 180 degrees occurs if the refractive index of the second medium (water) is higher than that of the first medium (air). This phase change results in an inverted reflected wave compared to the incoming wave.
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The action spectrum is broader than the absorption spectrum because:_________
The action spectrum is broader than the absorption spectrum because the action spectrum represents the overall efficiency of photosynthesis, while the absorption spectrum only shows the wavelengths of light absorbed by pigments.
In the action spectrum, a wider range of wavelengths contributes to photosynthesis, as it takes into account the energy conversion process and the involvement of accessory pigments that can absorb different wavelengths and transfer energy to the main photosynthetic pigments.
This results in a broader action spectrum compared to the absorption spectrum.
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How do adaptations help an animal survive?
Answer: Depends on their adaptions such as they may be able to change their color of their skin to camouflage to hide from predators or they are able to survive in harsh weather where they live in.
Explanation:
Answer: An adaptation is a very particular skill which helps an animal do the things they do in every day life . Adaptation basically helps an animal survive in the environment they have decided to live in .
Hoped I helped -
Sleepy~
During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. Assume that the stretching of the hose obeys Hooke's law with a spring constant of 88.0 N/m. If the hose is stretched by 4.20 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length
Answer:
The work done on the hose by the time the hose reaches its relaxed length is 776.16 Joules
Explanation:
The given spring constant of the of the spring, k = 88.0 N/m
The length by which the hose is stretched, x = 4.20 m
For the hose that obeys Hooke's law, and the principle of conservation of energy, the work done by the force from the hose is equal to the potential energy given to the hose
The elastic potential energy, P.E., of a compressed spring is given as follows;
P.E. = 1/2·k·x²
∴ The potential energy given to hose, P.E. = 1/2 × 88.0 N/m × (4.20 m)²
1/2 × 88.0 N/m × (4.20 m)² = 776.16 J
The work done on the hose = The potential energy given to hose, P.E. = 776.16 J
a bomb is dropped from a plane fying at a constant horizontal velocity at an altitude of 300m. where is the bomb after 2 seconds?
Answer:
it will be almost on the ground
Explanation:
i say this because the boom is heavy and its going down fast so it will not be in the air or on the floor it will be akmost o the ground.
Electric potential differences are measured in _____.voltsjoulesnewtonscentimeters
The correct unit used to measure the electric potential difference is Volts.
Joules is used to measure energy.
Newtons is used to measure forces.
Centimeters is used to measure distance.
Therefore the correct option is the first one.
What is the potential difference when the current in a circuit is 5mA and resistance is 30 Ohms
\( \sf• \: The \: current \: in \: a \: circuit \: is \: 5 \: amps. \: and \: resistance \: is \: 30 \: Ohms.\)
\( \\ \)
\(\bf{ \underline{To \: Find :- }}\)\( \sf{• \: The \: Potential \: Difference. }\)
\( \\ \)
\( \huge\bf{ \underline{ Solution:- }}\)
\( \sf According \: to \: the \: question, \)
\( \sf• \: Current \: (I) = 5 \: Amps.\)
\( \sf• \: Resistance \: (R) = 30 \: Ω\)
\( \sf{Potential \: difference \: means \: Voltage \: ( V).}\)
\( \sf{We \: know \: that, }\)
\( \bf \red{ \bigstar{ \: V = IR }}\)
\( \rightarrow \sf V =5 \times 30\)
\( \rightarrow \sf V =150\)
\( \\ \)
\( \sf \purple{Therefore, \: the \: potential \: difference \: is \: 150 \: v \: .}\)
Lithium (Li) has a charge of +1, and oxygen (O) has a charge of –2. Which is the chemical formula? LiO2 LiO Li2O Li2O2
Answer:
The results is Li₂O
Explanation:
n a chemical reaction, the electron miner in the formula must be balanced, that is, the number of positive and negative charges is the same
In this case, oxygen has a valence of -2 that is, it can give two electrons and lithium has a valence of +1, therefore two lithium atoms are needed for the charges to be neutral, therefore the chemical formula is
The results is Li₂O
Answer:
Li2O
Explanation:
just took the test on edge
i need help on this question.
Answer:
Answer: B. 49 N
Explanation:
Friction Force
When an object is at rest on a rough surface, it encounters a friction force that opposes motion.
The friction force when an object is moving on a horizontal surface is calculated by:
\(Fr=\mu_k N\)
Where \(\mu_k\) is the coefficient of static friction and N is the normal force.
If no forces other then the weight and the normal are acting upon the y-direction, then the weight and the normal are equal in magnitude:
N = W = m.g
Thus, the friction force is:
\(Fr=\mu_k W\)
We are given the coefficient of static friction \(\mu_k=0.5\) and the mass of the object m=10 Kg. The minimum force needed to make it start moving is the maximum friction force:
Fr=0.5*10*9.8
Fr = 49 N
Answer: B. 49 N
a catapult has two rubber arms, each with a square cross-section with a width 4 mm and length 300 mm. in use, its arms are stretched to three times their original length before release. assume the modulus of rubber is 103 gpa and that it does not change when the rubber is stretched. how much energy is stored in the catapult just before release?
The strain energy held in the rubber arms is the energy retained in the catapult immediately before release. Hooke's law can be used to determine the area under the stress-strain curve, which corresponds to the strain energy.
How to calculate Energy?Calculations are mathematical problems or computations that rely on numerical data to get a result. They can be used to answer problems in a variety of disciplines, including engineering, economics, science, and finance. They can range from basic arithmetic to complicated calculus. Both manually performing calculations and using computers are options.
The following equation can be used to determine the strain energy in the catapult's arms:
Strain Energy = (Area of Cross Section) x (Modulus of Elasticity) x (Strain)
Where:
Cross Sectional Area = 4 mm x 300 mm = 1200 mm2
Modulus of Elasticity = 103 GPa
Strain = 3
As a result, the catapult's just-before-released strain energy is:
Strain Energy = 1200 mm2 x 103 GPa x 3 = 3,600,000 J
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